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Finding the Fourth Proportional to 358.26, 494.20 and 259.84

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Solution

The fourth proportional to 358.26, 494.20 and 259.84 is: 358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.26 : 494.20 = 259.84 : x
  2. Step 2: Convert to fraction form
    358.26/494.20 = 259.84/x
  3. Step 3: Cross multiply
    358.26x = 494.20 × 259.84
  4. Step 4: Simplify right side
    358.26x = 128,412.93
  5. Step 5: Solve for x
    x = 128,412.93/358.26
  6. Step 6: Final answer
    x = 358.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.